Trigonometric Functions:
You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.
Rearrange the formula to find H (PR):
14.463 ~ 14.5
<h2>
14.5°</h2>
Answer: A
Step-by-step explanation:
The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.
3x²-2x=0
Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.
A=3
B=-2
C=0
We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).
Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.
Therefore, A is the correct answer.
Answer:
first 25%
Step-by-step explanation:
A quartile is a quarter, so the first 25% falls between the minimum and lower quartile
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Answer:
y = -2x - 5
Step-by-step explanation:
2y = x - 3
y = 1/2x - 3/2
gradient = 1/2
perpendicular gradient = negative reciprocal = -2
y = -2x + c
(-3) = -2(-1) + c
-3 = 2 + c
-5 = c
